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Least Common Multiple (LCM) of 71 and 66

The least common multiple (LCM) of 71 and 66 is 4686.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 71 and 66?

First, calculate the GCD of 71 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 71 ÷ 66 = 1 remainder 5
2 66 ÷ 5 = 13 remainder 1
3 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
37 and 1314847
22 and 28308
34 and 1354590
175 and 1705950
89 and 968544

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